TY - JOUR

T1 - 2MTF-VI. Measuring the velocity power spectrum

AU - Howlett, Cullan

AU - Staveley-Smith, Lister

AU - Elahi, Pascal J.

AU - Hong, Tao

AU - Jarrett, Tom H.

AU - Jones, D. Heath

AU - Koribalski, Barbel S.

AU - Macri, Lucas M.

AU - Masters, Karen L.

AU - Springob, Christopher M.

PY - 2017/11

Y1 - 2017/11

N2 - We present measurements of the velocity power spectrum and constraints on the growth rate of structure f sigma(8), at redshift zero, using the peculiar motions of 2062 galaxies in the completed 2MASS Tully-Fisher survey (2MTF). To accomplish this we introduce a model for fitting the velocity power spectrum including the effects of non-linear redshift space distortions (RSD), allowing us to recover unbiased fits down to scales k= 0.2 h Mpc(-1) without the need to smooth or grid the data. Our fitting methods are validated using a set of simulated 2MTF surveys. Using these simulations we also identify that the Gaussian distributed estimator for peculiar velocities of Watkins & Feldman is suitable for measuring the velocity power spectrum, but sub-optimal for the 2MTF data compared to using magnitude fluctuations delta m, and that, whilst our fits are robust to a change in fiducial cosmology, future peculiar velocity surveys with more constraining power may have to marginalize over this. We obtain scale-dependent constraints on the growth rate of structure in two bins, finding f sigma(8) = [0.55(-0.13)(+0.16), 0.40(-0.17)(+0.16)] in the ranges k = [0.007-0.055, 0.55-0.150] h Mpc(-)1. We also find consistent results using four bins. Assuming scale-independence we find a value f sigma(8) = 0.51(-0.08)(+0.09), a similar to 16 per cent measurement of the growth rate. Performing a consistency check of general relativity (GR) and combining our results with cosmic microwave background data only we find gamma = 0.45(-0.11)(+0.10), a remarkable constraint considering the small number of galaxies. All of our results are completely independent of the effects of galaxy bias, and fully consistent with the predictions of GR (scale-independent f sigma(8) and gamma approximate to 0.55).

AB - We present measurements of the velocity power spectrum and constraints on the growth rate of structure f sigma(8), at redshift zero, using the peculiar motions of 2062 galaxies in the completed 2MASS Tully-Fisher survey (2MTF). To accomplish this we introduce a model for fitting the velocity power spectrum including the effects of non-linear redshift space distortions (RSD), allowing us to recover unbiased fits down to scales k= 0.2 h Mpc(-1) without the need to smooth or grid the data. Our fitting methods are validated using a set of simulated 2MTF surveys. Using these simulations we also identify that the Gaussian distributed estimator for peculiar velocities of Watkins & Feldman is suitable for measuring the velocity power spectrum, but sub-optimal for the 2MTF data compared to using magnitude fluctuations delta m, and that, whilst our fits are robust to a change in fiducial cosmology, future peculiar velocity surveys with more constraining power may have to marginalize over this. We obtain scale-dependent constraints on the growth rate of structure in two bins, finding f sigma(8) = [0.55(-0.13)(+0.16), 0.40(-0.17)(+0.16)] in the ranges k = [0.007-0.055, 0.55-0.150] h Mpc(-)1. We also find consistent results using four bins. Assuming scale-independence we find a value f sigma(8) = 0.51(-0.08)(+0.09), a similar to 16 per cent measurement of the growth rate. Performing a consistency check of general relativity (GR) and combining our results with cosmic microwave background data only we find gamma = 0.45(-0.11)(+0.10), a remarkable constraint considering the small number of galaxies. All of our results are completely independent of the effects of galaxy bias, and fully consistent with the predictions of GR (scale-independent f sigma(8) and gamma approximate to 0.55).

KW - cosmological parameters

KW - large-scale structure of Universe

KW - cosmology: observations

KW - 2MASS REDSHIFT SURVEY

KW - COLD DARK-MATTER

KW - LARGE-SCALE STRUCTURE

KW - TULLY-FISHER CATALOG

KW - PECULIAR VELOCITIES

KW - BULK FLOW

KW - COSMOLOGICAL PARAMETERS

KW - LUMINOSITY FUNCTION

KW - SPACE DISTORTIONS

KW - ELLIPTIC GALAXIES

U2 - 10.1093/mnras/stx1521

DO - 10.1093/mnras/stx1521

M3 - Article

SN - 0035-8711

VL - 471

SP - 3135

EP - 3151

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

IS - 3

ER -